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Finding the Fourth Proportional to 241.30, 362.01 and 97

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Solution

The fourth proportional to 241.30, 362.01 and 97 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.30 : 362.01 = 97 : x
  2. Step 2: Convert to fraction form
    241.30/362.01 = 97/x
  3. Step 3: Cross multiply
    241.30x = 362.01 × 97
  4. Step 4: Simplify right side
    241.30x = 35,114.97
  5. Step 5: Solve for x
    x = 35,114.97/241.30
  6. Step 6: Final answer
    x = 145.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.